基于指数分布第K次序统计量试验寿命可靠性评估方法

Reliability Assessment Method of Test Life Based on Kth Order Statistics of Exponential Distribution

针对航空发动机部分元器件或系统的可靠性评估和可靠性试验设计问题,推导了寿命服从指数分布时基于任意第k次序统计量的试验寿命可靠性评估理论公式,并给出了置信度为90%、95%时基于第k次序统计量的可靠寿命试验设计系数表。结果表明:采用该方法可确定给定可靠度、设计寿命、破坏数及子样数时的最短试验时间,或者给定设计寿命、可靠度、置信度、子样数及试验时间时最大允许故障数。综合考虑试验件数量及试验时间,可对寿命可靠性试验进行成本优化设计。

The theoretical formula of reliability assessment of test life based on arbitrary kth order statistics was derived when the life obeyed exponential distribution for the reliability assessment and reliability test design of some components or systems of aeroengine. The design coefficient table of reliability life test based on kth order statistics was given when the confidence level was 90% and 95%. The results show that the shortest test time for given reliability,design life,failure number and subsample number,or the maximum allowable fault number for given design life,reliability,confidence,subsample number and test time can be determined by using this method.Considering the number of test pieces and test time synthetically,the cost optimization design of life reliability test can be carried out.